A system of equations with special right-hand sides and constant coefficients

In this paper, we consider the Cauchy problem for a system of equations with special right-hand sides and constant coefficients. Using the additional argument method, sufficient conditions for the nonlocal solvability of the Cauchy problem for a system of equations with special right-hand sides and constant coefficients are determined. The proof of the nonlocal solvability of the Cauchy problem for a system of equations with special right-hand sides and constant coefficients is based on global estimates. An example of the Cauchy problem for a system of equations with special right-hand sides and constant coefficients, which has a unique nonlocal solution, is given. The example shows that there is a Cauchy problem for a system of equations with special right-hand sides and con- stant coefficients, which has a unique nonlocal solution.